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Computing the Principal Branch of log-Gamma

✍ Scribed by D.E.G Hare


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
226 KB
Volume
25
Category
Article
ISSN
0196-6774

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✦ Synopsis


The log-Gamma function is an important special function of mathematics, and its principal branch is required in many applications. We develop here the mathematics required to evaluate the principal branch to arbitrary precision, including a new bound for the error in Stirling's asymptotic series. We conclude with a discussion of the implementation of the principal branch of the log-Gamma function in the Maple symbolic algebra system, starting with version Maple V, Release 3.


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